Not only the local priority vectors but also the global synthesized priority vector for the alternatives can be obtained from the eigenproblem solution for the ANP supermatrix. This global priority vector retains the main property of any AHP vector â€“ to present the mean dominance of each of the items over the others with respect to the goal of the hierarchy.
AHP local and global vectors, ANP, eigenproblem of supermatrix
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Lipovetsky, S. (2005). Analytic hierarchy processing in Chapman-Kolmogorov
equations. International J. of Operations and Quantitative Management, 11, 219-228.
Lipovetsky, S. (2010). An interpretation of the AHP eigenvector solution for the lay
person. IJAHP, 2/2, 159-162.
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Analytic Hierarchy Process. Pittsburgh, PA: RWS Publications.
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Appendix I. Additional bibliography
Bernasconi M., Choirat C. and Seri R. (2010). The analytic hierarchy process and the
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estimation methods. International J. of Mathematical Education in Science and
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Lipovetsky, S. (2009a). Global priority estimation in multiperson decision making.
Journal of Optimization Theory and Applications, 140, 77-91.
Lipovetsky, S. (2009b). Optimal hierarchy structures for multi-attribute-criteria decisions.
Journal of Systems Science and Complexity, 22, 228-242.
Saaty, T.L. (1977). A scaling method for priorities in hierarchical structures.
Mathematical Psychology, 15, 234-281.
Saaty, T.L. (1980). The Analytic Hierarchy Process. New York: McGraw-Hill.
Saaty, T.L. (2000). Decision Making for Leaders. Pittsburgh, PA: RWS Publications.
Saaty, T.L. (2008a). The analytic hierarchy and analytic network measurement processes:
Applications to decisions under risk. European Journal of Pure and Applied
Saaty, T.L. (2008b). Relative measurement and its generalization in decision making –
why pairwise comparisons are central in mathematics for the measurement of intangible
The Analytic Hierarchy/Network Process, RACSAM Rev. R. Acad. Cien. Ser. A. Mat.,
Vaidya O.S. and Kumar S. (2006). Analytic hierarchy process: An overview of
applications. European Journal of Operational Research, 169, 1-29.
Wasil, E.A., & Golden, B.L. (2003). Celebrating 25 years of AHP-based decision
making. Computers and Operations Research, 30, 1419-1420.
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